Search a number
-
+
1123301140020 = 223256240561889
BaseRepresentation
bin10000010110001001111…
…101110010011000110100
310222101102210021022202200
4100112021331302120310
5121401010042440040
62220012025504500
7144104310102243
oct20261175623064
93871383238680
101123301140020
113a3431233404
12161853342130
1381c083740a7
143c521d8495a
151e346447630
hex10589f72634

1123301140020 has 36 divisors (see below), whose sum is σ = 3407346791940. Its totient is φ = 299546970624.

The previous prime is 1123301139979. The next prime is 1123301140099. The reversal of 1123301140020 is 200411033211.

1123301140020 is a `hidden beast` number, since 1 + 1 + 233 + 0 + 11 + 400 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119381306256 + 1003919833764 = 345516^2 + 1001958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1123301139975 and 1123301140002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3120280765 + ... + 3120281124.

Almost surely, 21123301140020 is an apocalyptic number.

1123301140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123301140020 is an abundant number, since it is smaller than the sum of its proper divisors (2284045651920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123301140020 is a wasteful number, since it uses less digits than its factorization.

1123301140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240561904 (or 6240561899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1123301140020 its reverse (200411033211), we get a palindrome (1323712173231).

The spelling of 1123301140020 in words is "one trillion, one hundred twenty-three billion, three hundred one million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6240561889 12481123778 18721685667 24962247556 31202809445 37443371334 56165057001 62405618890 74886742668 93608428335 112330114002 124811237780 187216856670 224660228004 280825285005 374433713340 561650570010 1123301140020